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Colloidal smectics in button-like confinements: Experiment and theory

René Wittmann1,*, Paul A. Monderkamp1, Jingmin Xia2,†, Louis B. G. Cortes3,4, Iago Grobas4, Patrick E. Farrell5, Dirk G. A. L. Aarts4,‡, and Hartmut Löwen1,§

  • 1Institut für Theoretische Physik II Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany
  • 2College of Meteorology and Oceanography, National University of Defense Technology, Changsha, 410072, China
  • 3School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, USA
  • 4Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, Oxford OX1 3QZ, United Kingdom
  • 5Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom

  • *rene.wittmann@hhu.de
  • †jingmin.xia@nudt.edu.cn
  • ‡dirk.aarts@chem.ox.ac.uk
  • §hartmut.loewen@uni-duesseldorf.de
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Phys. Rev. Research 5, 033135 – Published 28 August, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.033135

Abstract

Liquid crystals can self-organize into a layered smectic phase. While the smectic layers are typically straight, forming a lamellar pattern in bulk, external confinement may drastically distort the layers due to the boundary conditions imposed on the orientational director field. Resolving this distortion leads to complex structures with topological defects. Here, we explore the configurations adopted by two-dimensional colloidal smectics made from nearly hard rod-like particles in complex confinements, characterized by a button-like structure with two internal boundaries (inclusions): a two-holed disk and a double annulus. The topology of the confinement generates new structures which we classify in reference to previous work as generalized laminar and generalized Shubnikov states. To explore these configurations, we combine particle-resolved experiments on colloidal rods with three complementary theoretical approaches: Monte Carlo simulation, first-principles density functional theory, and phenomenological Q-tensor modeling. This yields a consistent and comprehensive description of the structural details. In particular, we characterize a nontrivial tilt angle between the direction of the layers and symmetry axes of the confinement.

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Phys. Rev. Research 5, 033135– Published 28 August, 2023
  • Received 2 March 2023
  • Accepted 2 August 2023
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